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Evolving paleontological views on deterministic and stochastic approaches

  • Thomas J. M. Schopf (a1)
Abstract

Experienced workers in a field are unlikely to change their assessment of basic philosophical issues. Einstein for example never accepted the indeterminacy required by the Heisenberg uncertainty principle, despite the urgings of Max Born and virtually all others. Similarly even earlier, some older workers had refused to accept the young Einstein's theories. Now if issues in physics are not open and shut, they are even less so in paleontology. Possibly it is useful to probe the underlying basic philosophical background to our discipline. The purpose of the present article is to indicate that the inductive, deterministic approaches which have been used almost exclusively in paleontology have stringent limitations. For some types of problems, deductive stochastic processes are more interesting. If we can make the distinction of ‘few’ versus ‘many,’ then it is quite easy to consider deterministic explanations for the individual cases (the movement of individual molecules) but to reserve stochastic explanations for the ensembles of events (the movement of molecules too numerous to count).

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Anderson, S. 1974. Patterns of faunal evolution. Q. Rev. Biol. 49:311332.
Anderson, S. and Anderson, C. S. 1975. Three Monte Carlo models of faunal evolution. Am. Mus. Novit. 2563:16.
Avise, J. C. 1974. Systematic value of electrophoretic data. Syst. Zool. 23:465481.
Boardman, R. S. and Utgaard, J. 1964. Modifications of study method for Paleozoic Bryozoa. J. Paleontol. 38:768770.
Bohm, D. 1977. Heisenberg's contributions to physics. Pp. 559563. In: Price, W. C. and Chissick, S. S., eds. The Uncertainty Principle and Foundations of Quantum Mechanics, a Fifty Years' Survey. John Wiley & Sons; London.
Bonner, J. T. 1965. Size and Cycle. 219 pp. Princeton Univ. Press; Princeton, New Jersey.
Brecher, K. 1979. Albert Einstein: 14 March, 1879-18 April, 1955, A guide for the perplexed. Nature. 278:215218.
Buge, E. 1972. Remarques sur les méthodes d'utilization strati-graphique des Bryozoaires postpaléozoiques. Mémoire Bureau de Recherches Geólogie et Mineralogie France. 77:5558.
Butterfield, H. 1931. The Whig Interpretation of History. (Penguin Paperback, 1973, 95 pp.)
Carson, H. L. and Kaneshiro, K. Y. 1976. Drosophila of Hawaii: systematics and ecological genetics. Annu. Rev. Ecol. and Syst. 7:311345.
Connell, J. H. 1978. Diversity in tropical rain forests and coral reefs. Science. 199:13021310.
Fisher, D. C. 1977. Functional significance of spines in the Pennsylvanian horseshoe crab Euproops danae. Paleobiology. 3:175195.
FitzGerald, F. 1979. Onward and upward with the arts: rewriting American history. New Yorker. February 26 (pp. 4177), March 5 (pp. 40–91), March 12 (pp. 48-106).
Flessa, K. W. and Imbrie, J. 1973. Evolutionary pulsations: evidence from Phanerozoic diversity patterns. Pp. 247285. In: Tarling, D. H. and Runcorn, S. K., eds. Implications of Continental Drift to the Earth Sciences. Vol. 1. Academic Press; London.
Foin, T. C., Valentine, J. W., and Ayala, F. J. 1975. Extinction of taxa and Van Valen's law. Nature. 257:514516.
Gould, S. J. 1978. Generality and uniqueness in the history of life: an exploration with random models. BioScience. 28:277281.
Gould, S. J., Raup, D. M., Sepkoski, J. J. Jr., Schopf, T. J. M., and Simberloff, D. S. 1977. The shape of evolution: a comparison of real and random clades. Paleobiology. 3:2340.
Hubbell, S. P. 1979. Tree dispersion, abundance, and diversity in a tropical dry forest. Science. 203:12991309.
Hull, D. L. 1979. In defense of presentism. History and Theory. 18:115.
Kimura, M. and Ohta, T. 1974. On some principles governing molecular evolution. Proc. Nat. Acad. Sci. (U.S.A.). 71:28482852.
Knipe, H. R. 1912. Evolution in the Past. 242 pp. Herbert and Daniel; London.
Lillie, R. S. 1932. The directive influence in living organisms. J. Philos. 29:477491.
May, R. M. 1978. The evolution of ecological systems. Sci. Am. 239:160175.
Mertz, D. B., Cawthon, D. A., and Park, T. 1976. An experimental analysis of competitive indeterminacy in Tribolium. Proc. Nat. Acad. Sci. (U.S.A.). 73:13681372.
Osman, R. W. and Whitlatch, R. B. 1978. Patterns of species diversity: fact or artifact? Paleobiology. 4:4154.
Popper, K. R. 1945. The Poverty of Historicism. (Book form published 1957. 166 pp. Routledge & Kegan Paul; London.)
Potter, R. V. 1979. Bryozoan karyotypes and genome sizes. In: Larwood, G., ed. Bryozoa, 1978. Academic Press; New York. In press.
Raup, D. M. 1975. Taxonomic survivorship curves and Van Valen's Law. Paleobiology. 1:8296.
Raup, D. M. 1977a. Probabilistic models in evolutionary paleobiology. Am. Sci. 65:5057.
Raup, D. M. 1977b. Stochastic models in evolutionary paleontology. Pp. 5978. In: Patterns of Evolution. Hallam, A., ed. Elsevier; New York.
Raup, D. M. 1978. Approaches to the extinction problem. J. Paleontol. 52:517523.
Raup, D. M. 1979. Conflicts between Darwin and paleontology. Field Mus. Nat. Hist. Bull. 50:2229.
Raup, D. M. and Gould, S. J. 1974. Stochastic simulation and evolution of morphology—towards a nomothetic paleontology. Syst. Zool. 23:305322.
Raup, D. M. and Schopf, T. J. M. 1978. Stochastic models in paleontology: a primer. Notes for a workshop “Species as Particles in Space and Time.” 124 pp. Held at Smithsonian Institution.
Raup, D. M., Gould, S. J., Schopf, T. J. M., and Simberloff, D. S. 1973. Stochastic models of phylogeny and the evolution of diversity. J. Geol. 81:525542.
Schopf, J. W. 1974. The development and diversification of Precambrian life. Origins of life. 5:119135.
Schopf, T. J. M. 1971. An approach to understanding evolutionary relationships in the Phylum Ectoprocta. Pp. 19. In: Meyerson, A. L. and Zois, C. S., eds. Papers in Marine Science: The Link Lecture Series. Contribution No. 1. New Jersey Marine Sciences Consortium, Upper Montclair, New Jersey.
Schopf, T. J. M. 1974a. Permo-Triassic extinctions: relation to sea-floor spreading. J. Geol. 82:129143.
Schopf, T. J. M. 1974b. Presentation of the Schuchert Award of the Paleontological Society to David M. Raup. J. Paleontol. 48:620621.
Schopf, T. J. M. 1977. Patterns and themes of evolution among the Bryozoa. Pp. 159207. In: Hallam, A., ed. Patterns of Evolution. Elsevier Publ. Co.; Amsterdam.
Schopf, T. J. M. 1978. Fossilization potential of an intertidal fauna: Friday Harbor, Washington. Paleobiology. 4:261270.
Schopf, T. J. M. and Murphy, L. S. 1973. Protein polymorphism of the hybridizing seastars Asterias forbesi and Asterias vulgaris and implications for their evolution. Biol. Bull. (Woods Hole). 145:589597.
Schopf, T. J. M., Raup, D. M., Gould, S. J., and Simberloff, D. S. 1975. Genomic versus morphologic rates of evolution: influence of morphologic complexity. Paleobiology. 1:6370.
Schuchert, C. 1918. The earth's changing surface and climate. Pp. 4581. In: Barrell, J., Schuchert, C., Woodruff, L. L., Lull, R. S., and Huntington, E.The Evolution of the Earth. Yale Univ. Press; New Haven, Conn.
Sepkoski, J. J. Jr. 1978. A kinetic model of Phanerozoic taxonomic diversity. I. Analysis of marine orders. Paleobiology. 4:223251.
Sepkoski, J. J. Jr. 1979. A kinetic model of Phanerozoic taxonomic diversity. II. Early Phanerozoic families and multiple equilibria. Paleobiology. 5:222251.
Shackleton, N. J. 1977. Carbon-13 in Uvigerina: tropical rainforest history and the equatorial Pacific carbonate dissolution cycles. Pp. 401427. In: Anderson, N. R. and Malahoff, A., eds. The Fate of Fossil Fuel CO2 in the Oceans. Plenum Press; New York.
Simberloff, D. S. 1974. Permo-Triassic extinctions: effects of area on biotic equilibrium. J. Geol. 82:267274.
Simberloff, D. S. 1978. Using island biogeographic distributions to determine if colonization is stochastic. Am. Nat. 112:713726.
Simpson, B. B. 1975. Pleistocene changes in the flora of the high tropical Andes. Paleobiology. 1:273294.
Simpson, G. G. 1953. Life of the Past, An Introduction to Paleontology. 198 pp. Yale Univ. Press; New Haven, Conn.
Soule, D. F. and Soule, J. D. 1973. Morphology and speciation of Hawaiian and eastern Pacific Smittinidae (Bryozoa, Ectoprocta). Bull. Brit. Mus. Nat. Hist. 152:365440.
Soule, D. F. and Soule, J. D. 1974. Species groups in Watersiporidae. Documents des Laborataires de Gélogie de la Facultés Sciences de Lyon. Hors Série 3. (fasc. 2). pp. 299309.
Stanley, S. M. 1977. Trends, rates, and patterns of evolution in the Bivalvia. Pp. 209250. In: Hallam, A., ed. Patterns of Evolution. Elsevier; Amsterdam.
Størmer, L. 1955. Merostomata. Pp. P4P41. In: Moore, R. C., ed. Treatise on Invertebrate Paleontology. Part P. Geol. Soc. Am.; Lawrence, Kans.
Taylor, A. J. P. 1950. Tory history. (Penguin Paperback, Essays in English History, A. J. P. Taylor. Pp. 1722. 1976.)
Thayer, C. W. 1979. Biological bulldozers and the evolution of marine benthic communities. Science. 203:458461.
Thorpe, J. P., Beardmore, J. A., and Ryland, J. S. 1978. Genetic evidence for cryptic speciation in the marine bryozoan Alcyonidium gelatinosum. Mar. Biol. 49:2732.
Van Valen, L. 1973. A new evolutionary law. Evol. Theory. 1:130.
Vaughan, T. W. 1924. Criteria and status of correlation and classification of Tertiary deposits. Geol. Soc. America Bull. 35:677742.
White, M. J. D. 1977. Modes of Speciation. 455 pp. W. H. Freeman and Co.; San Francisco.
White, M. J. D. 1978. Chain processes in chromosomal speciation. Syst. Zool. 27:285298.
Willis, J. C. 1922. Age and Area, A Study in Geographical Distribution and Origin of Species. 259 pp. Cambridge Univ. Press; Cambridge.
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